For an ultrasound wave with an incident intensity of 6.5 × 10^-2 J cm^-2 s^-1, what is the intensity of a beam transmitted through a flat interface between fat tissue and muscle tissue? Acoustic impedance value for fat is Z_f = 1.33 × 10⁶ rayl, and for muscle Z_m = 1.66 × 10⁶ rayl.

Question

Quizplus · Accepted Answer

The intensity of the transmitted beam can be calculated using the formula for the transmission coefficient (T), which depends on the acoustic impedances of the two media (Z1 and Z2). The transmission coefficient T is given by T = 4Z1Z2 / (Z1 + Z2)^2. Substituting the given values for fat (Zf = 1.33 × 10^6 rayl) and muscle (Zm = 1.66 × 10^6 rayl), and the incident intensity (I0 = 6.5 × 10^-2 J/cm^2s), we can calculate the transmitted intensity (It). The calculation shows that the transmitted intensity closely matches the value given in option C, indicating that the majority of the incident wave's intensity is transmitted through the interface, with a slight reduction due to the impedance mismatch.

For an Ultrasound Wave with an Incident Intensity of 6